5. Let E be the solid region above the plane z = 2 and below the sphere ² + y² + z² = 16 (see diagram to the right). (a) Set up, but DO NOT EVALUATE, iterated integrals for dV (2 + + م( (1² + y² + z using cylindrical coordinates. Clearly show how how you obtained your limits of integration.
5. Let E be the solid region above the plane z = 2 and below the sphere ² + y² + z² = 16 (see diagram to the right). (a) Set up, but DO NOT EVALUATE, iterated integrals for dV (2 + + م( (1² + y² + z using cylindrical coordinates. Clearly show how how you obtained your limits of integration.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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